Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 55, Issue 4, Pages 1024-1028Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2010.2041982
Keywords
Asymptotic stability; linear copositive Lyapunov functional; positive system; time-varying delays
Funding
- Key Youth Projects of Southwest University for Nationalities of China
- Domestic Universities to Visit Chinese Academy of Sciences
- National Science Foundation of China [60974148, 60674050, 60736022, 60874010, 60621001, 60528007]
- Overseas Outstanding Young Researcher Foundation of Chinese Academy of Sciences
- National 863 Program [2006AA04Z258]
- 11-5 project [A2120061303]
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This note addresses the stability problem of continuous-time positive systems with time-varying delays. It is shown that such a system is asymptotically stable for any continuous and bounded delay if and only if the sum of all the system matrices is a Hurwitz matrix. The result is a time-varying version of the widely-known asymptotic stability criterion for constant-delay positive systems. A numerical example illustrates the correctness of our result.
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